Mathematician:Hermanus Johannes Joseph te Riele
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Mathematician
Dutch mathematician specializing in computational number theory.
Proving the correctness of the Riemann Hypothesis for the first $1.5$ billion non-trivial zeros of the Riemann zeta function, with Jan van de Lune and Dik Winter.
Disproved the Mertens Conjecture, with Andrew Michael Odlyzko.
Known for factoring large numbers of world record size.
Also known for discovering large amicable pairs.
Found a new upper bound for $\map \pi x - \map \Li x$.
Nationality
Dutch
History
- Born: January 5, 1947 in The Hague, Netherlands
Theorems and Definitions
Publications
- 1974: Four Large Amicable Pairs (Math. Comp. Vol. 28: pp. 309 – 312) www.jstor.org/stable/2005840
- 1984: On generating new amicable pairs from given amicable pairs (Math. Comp. Vol. 42: pp. 219 – 223) www.jstor.org/stable/2007572
- 1986: Computation of all the amicable pairs below $10^{10}$ (Math. Comp. Vol. 47: pp. 361 – 368) www.jstor.org/stable/2008101
- 1987: On the difference $\map \pi x - \map \Li x$ (Math. Comp. Vol. 48: pp. 323 – 328)
- 1991: Improved Techniques for Lower Bounds for Odd Perfect Numbers (Math. Comp. Vol. 57: pp. 857 – 868) (with R.P. Brent and G.L. Cohen) www.jstor.org/stable/2938723
Also known as
He is generally known as Herman te Riele.
The surname is te Riele, not Riele.